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Finding the Third Proportional to 9,863.25 and 15,614.25

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Solution

The third proportional to 9,863.25 and 15,614.25 is: 24,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.25 : 15,614.25 = 15,614.25 : x
  2. Step 2: Convert to fraction form
    9,863.25/15,614.25 = 15,614.25/x
  3. Step 3: Cross multiply
    9,863.25x = 15,614.25 × 15,614.25
  4. Step 4: Simplify right side
    9,863.25x = 243,804,803.06
  5. Step 5: Solve for x
    x = 243,804,803.06/9,863.25
  6. Step 6: Final answer
    x = 24,718.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.